Search a number
-
+
13313211156 = 223271719163561
BaseRepresentation
bin11000110011000011…
…10111101100010100
31021100211011012101200
430121201313230110
5204231140224111
610041020152500
7650625266460
oct143141675424
937324135350
1013313211156
115711a62653
1226b6698730
131342246b4b
149041bb4a0
1552dbc0256
hex319877b14

13313211156 has 144 divisors (see below), whose sum is σ = 42866328960. Its totient is φ = 3391580160.

The previous prime is 13313211127. The next prime is 13313211157. The reversal of 13313211156 is 65111231331.

It is a happy number.

13313211156 is a `hidden beast` number, since 1 + 331 + 321 + 1 + 1 + 5 + 6 = 666.

13313211156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313211157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385 + ... + 163176.

It is an arithmetic number, because the mean of its divisors is an integer number (297682840).

Almost surely, 213313211156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313211156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21433164480).

13313211156 is an abundant number, since it is smaller than the sum of its proper divisors (29553117804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13313211156 is a wasteful number, since it uses less digits than its factorization.

13313211156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163614 (or 163609 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

Adding to 13313211156 its reverse (65111231331), we get a palindrome (78424442487).

The spelling of 13313211156 in words is "thirteen billion, three hundred thirteen million, two hundred eleven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 153 171 204 228 238 252 266 306 323 342 357 399 476 532 612 646 684 714 798 969 1071 1197 1292 1428 1596 1938 2142 2261 2394 2907 3876 4284 4522 4788 5814 6783 9044 11628 13566 20349 27132 40698 81396 163561 327122 490683 654244 981366 1144927 1472049 1962732 2289854 2780537 2944098 3107659 3434781 4579708 5561074 5888196 6215318 6869562 8341611 9322977 10304343 11122148 12430636 13739124 16683222 18645954 19463759 20608686 21753613 25024833 27968931 33366444 37291908 38927518 41217372 43507226 50049666 52830203 55937862 58391277 65260839 77855036 87014452 100099332 105660406 111875724 116782554 130521678 158490609 175173831 195782517 211320812 233565108 261043356 316981218 350347662 369811421 391565034 475471827 633962436 700695324 739622842 783130068 950943654 1109434263 1479245684 1901887308 2218868526 3328302789 4437737052 6656605578 13313211156